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- Title
Prescribed fixed-time adaptive fuzzy control for uncertain MIMO nonlinear systems with Preisach operators.
- Authors
Huang, Kai; Lai, Guanyu; Zhang, Yun; Liu, Zhi; Wu, Yuanqing; Chen, C. L. Philip
- Abstract
For uncertain interconnected MIMO nonlinear systems with Preisach-type hysteresis inputs, the construction of a control strategy such that the fixed-time stability and the presettable steady-state tracking performance can be established simultaneously has not yet been achieved in the existing literature, despite theoretical and practical importance of such a problem. Technically, establishing the fixed-time stability needs the construction of a stringent Lyapunov-based conditional inequality, which is indeed not a trivial task when the existence of interconnection of subsystems, Preisach-type hysteresis inputs, and uncertain unparametrizable nonlinear dynamics, in particular when the predefined steady-state tracking accuracy needs to be established at the same time. To fill in the gap, and overcome the difficulties, in this paper, we propose a novel adaptive fuzzy control approach, for which a robust adaptive framework is developed to accommodate hysteresis nonlinearities and plant dynamics, and a smooth functions-based backstepping design is presented to construct a scheme capable of achieving the desired system performances. With our approach, it can be proved that all signals in the closed-loop system are bounded, and the tracking error for each subsystem converges to the predetermined interval in fixed time. Simulation and experimental tests are conducted to confirm the obtained results.
- Subjects
ADAPTIVE fuzzy control; MIMO systems; NONLINEAR systems; BACKSTEPPING control method; LINEAR matrix inequalities; MEMBERSHIP functions (Fuzzy logic); CLOSED loop systems; HYSTERESIS
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 1, p471
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09043-z